What is the Greatest Common Factor of 15814 and 15826?

Greatest common factor (GCF) of 15814 and 15826 is 2.

GCF(15814,15826) = 2

We will now calculate the prime factors of 15814 and 15826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15814 and 15826.

How to find the GCF of 15814 and 15826?

We will first find the prime factorization of 15814 and 15826. After we will calculate the factors of 15814 and 15826 and find the biggest common factor number .

Step-1: Prime Factorization of 15814

Prime factors of 15814 are 2, 7907. Prime factorization of 15814 in exponential form is:

15814 = 2¹ × 7907¹

Step-2: Prime Factorization of 15826

Prime factors of 15826 are 2, 41, 193. Prime factorization of 15826 in exponential form is:

15826 = 2¹ × 41¹ × 193¹

Step-3: Factors of 15814

List of positive integer factors of 15814 that divides 15814 without a remainder.

1, 2, 7907

Step-4: Factors of 15826

List of positive integer factors of 15826 that divides 15814 without a remainder.

1, 2, 41, 82, 193, 386, 7913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15814 and 15826. The biggest common factor number is the GCF number.
So the greatest common factor 15814 and 15826 is 2.

Also check out the Least Common Multiple of 15814 and 15826